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Finding the Fourth Proportional to 105.22, 157.84 and 89.73

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Solution

The fourth proportional to 105.22, 157.84 and 89.73 is: 134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 157.84 = 89.73 : x
  2. Step 2: Convert to fraction form
    105.22/157.84 = 89.73/x
  3. Step 3: Cross multiply
    105.22x = 157.84 × 89.73
  4. Step 4: Simplify right side
    105.22x = 14,162.76
  5. Step 5: Solve for x
    x = 14,162.76/105.22
  6. Step 6: Final answer
    x = 134.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.